Atkin-Lehner |
2+ 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
14240a |
Isogeny class |
Conductor |
14240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
89000000 = 26 · 56 · 89 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 0 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-113,-88] |
[a1,a2,a3,a4,a6] |
Generators |
[19:68:1] |
Generators of the group modulo torsion |
j |
2493326016/1390625 |
j-invariant |
L |
4.4452246570661 |
L(r)(E,1)/r! |
Ω |
1.5716390553678 |
Real period |
R |
2.8284004790309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14240b1 28480bh1 128160bk1 71200i1 |
Quadratic twists by: -4 8 -3 5 |